Collocation method based on rational Legendre functions for solving the magneto-hydrodynamic flow over a nonlinear stretching sheet

In this paper, a direct collocation method based on rational Legendre functions is proposed for solving the magneto-hydrodynamic (MHD) boundary layer flow over a nonlinear stretching sheet. Here, we use rational Legendre-Gauss-Radau nodes and transformed Hermite-Gauss nodes as interpolation points. We present the comparison of this work with some other numerical results. Moreover, residual norm shows that the present solutions are accurate and applicable.